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Finding the Fourth Proportional to 299,391.48, 413,160.21 and 204,064.74

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Solution

The fourth proportional to 299,391.48, 413,160.21 and 204,064.74 is: 281,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,391.48 : 413,160.21 = 204,064.74 : x
  2. Step 2: Convert to fraction form
    299,391.48/413,160.21 = 204,064.74/x
  3. Step 3: Cross multiply
    299,391.48x = 413,160.21 × 204,064.74
  4. Step 4: Simplify right side
    299,391.48x = 84,311,430,832.00
  5. Step 5: Solve for x
    x = 84,311,430,832.00/299,391.48
  6. Step 6: Final answer
    x = 281,609.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.